SOLUTION: an artist wants to paint a cube with volume 4096m^3 . each can of paint covers 60m^2. how many cans of paint does the artist need to paint the cube.

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Question 631107: an artist wants to paint a cube with volume 4096m^3 . each can of paint covers 60m^2. how many cans of paint does the artist need to paint the cube.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the length of the side of the cube, in meters.
The volume of the cube (in cubic meters) is x%5E3=4096.
It so happens that 4096 is a perfect cube.
4096=2%5E12=%282%5E4%2963=16%5E3
x%5E3=4096 --> x=root%283%2C4096%29 --> x=16
The surface area of one face of the cube (in square meters) is
x%5E2=16%5E2=256
The surface area of all six faces of the cube (in square meters) is
6%2A256
The number of cans of paint needed, if each can will cover 60 square meters is
6%2A250%2F60=25.6
The artist will have to buy highlight%2826%29 cans of paint.